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arXiv · 2402.13080

Thermodynamic Approach to Quantifying Incompatible Instruments

Chung-Yun Hsieh·Shin-Liang Chen
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Abstract

We consider a thermodynamic framework to quantify instrument incompatibility via a resource theory subject to thermodynamic constraints. We use the minimal thermalisation time needed to erase incompatibility's signature to measure incompatibility. Unexpectedly, this time value is equivalent to incompatibility advantage in a work extraction task. Hence, both thermalisation time and extractable work can directly quantify instrument incompatibility. Finally, we show that incompatibility signatures must vanish in non-Markovian thermalisation.

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Chung-Yun Hsieh, Shin-Liang Chen. 2024-02-20. Thermodynamic Approach to Quantifying Incompatible Instruments. https://doi.org/10.1103/physrevlett.133.170401

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